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Finding the Fourth Proportional to 624.52, 861.88 and 359.05

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Solution

The fourth proportional to 624.52, 861.88 and 359.05 is: 495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.52 : 861.88 = 359.05 : x
  2. Step 2: Convert to fraction form
    624.52/861.88 = 359.05/x
  3. Step 3: Cross multiply
    624.52x = 861.88 × 359.05
  4. Step 4: Simplify right side
    624.52x = 309,457.92
  5. Step 5: Solve for x
    x = 309,457.92/624.52
  6. Step 6: Final answer
    x = 495.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.